A Reliable Fracture Angle Determination Algorithm for Extended Puck's 3D Inter-Fiber Failure Criterion for Unidirectional Composites.

Yaohua Gong,Tao Huang,Purong Jia,Shuyi Zhao,Yongyong Suo,Xun’An Zhang

doi:10.3390/ma14216325

Yaohua Gong, Tao Huang + Show 4 more

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https://doi.org/10.3390/ma14216325

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Abstract

Determination of the fracture angle and maximum exposure value of extended Puck’s 3D inter-fiber failure (IFF) criterion is of great importance for predicting the failure mechanism of unidirectional fiber-reinforced composites. In this paper, a reliable semi-analytical algorithm (RSAA) is presented for searching fracture angle and corresponding exposure value for the extended Puck’s failure criterion. One hundred million cases are tested for verifying the accuracy of the present and other algorithms on Python using the strength-value-stress-state combinations more universal than those in previous literatures. The reliability of previous algorithms is discussed and counterexamples are provided for illustration. The statistical results show RSAA is adequate for implementation in extended Puck’s criterion and much more reliable than previous algorithms. RSAA can correctly predict the results with a probability of over 99.999%.

Highlights

Plenty of failure criteria for fiber-reinforced unidirectional (UD) composites have been proposed during the past decades
The work presented in this paper aims to determine the actual fracture plane in extended Puck’s 3D inter-fiber failure (IFF) criterion
Ten candidates are required for the present algorithm

Summary

Introduction

Plenty of failure criteria for fiber-reinforced unidirectional (UD) composites have been proposed during the past decades. Puck’s failure criterion is developed based on a physical hypothesis that the fracture plane is determined by the shear stresses and normal stress acting on this plane [5]. For a UD composites with an arbitrary 3D stress state and uncertain material properties, it is more important to know its potential fracture angle before predicting the onset of failure. Due to this reason, Puck [1] and VDI [6] proposed a stepwise search algorithm (SSA) to locate the fracture angle which relied on the degree-to-degree scanning of the potential fracture plane. Within an accuracy of 1◦ , it will lead to 180 points to be calculated

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